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Boolean algebras without nontrivial onto endomorphisms exist in every uncountable cardinality


Authors: James Loats and Matatyahu Rubin
Journal: Proc. Amer. Math. Soc. 72 (1978), 346-351
MSC: Primary 03G05; Secondary 03C65, 06E99
DOI: https://doi.org/10.1090/S0002-9939-1978-0507336-2
MathSciNet review: 507336
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Abstract: We prove, assuming ZFC, that for every uncountable cardinal $ \lambda $, there is a Boolean algebra of cardinality $ \lambda $, without onto endomorphisms other than the identity.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1978-0507336-2
Article copyright: © Copyright 1978 American Mathematical Society